Continuous dependence of the minimum of a functional on perturbations in optimal control problems with distributed and concentrated delays

Abstract

Continuity of the minimum of a general functional is proved with respect to perturbations of the initial data and right-hand side of the equation with variable distributed and concentrated delays. Under the initial data, we understand the collection of initial moment, of variable delays, and initial function. Perturbations of the right-hand side of the equation are small in the integral sense.